In the past few years there has been a huge development on the theory of inviscid damping. Linear results for flows near Couette, stricly monotone, radial and Kolmogorov flows can be found in [1]}, [2]}, [3]}, [4]}, [5]}, [6]}. However, the complete dynamics are described by the full nonlinear problems, which are considerably much harder. See [7]}, [8]}, [9]}, [10]}, [11]} for non-linear inviscid damping results for solutions near some shear and radial flows.
